1) Suppose the electric field is incident from air (z < 0) on a dielectric slab...
A plane wave is incident on a dielectric slab of permittivity er and thickness d at an incidence angle θο, where d A)/(4 Ver) and λο is the free-space wavelength of the incident wave, as shown in the accompanying figure. If free-space exists on both sides of the slab, find the reflection coefficient of the wave reflected from the front of the slab. Assume normal incidence now. Under what conditions the reflection is minimum? Show an illustration of the problem,...
please show clear steps A plane wave is incident on a dielectric slab of permittivity er and thickness d at an incidence angle θ0, where d λο/(4vRr) and X0 is the free-space wavelength of the incident wave, as shown in the accompanying figure. If free-space exists on both sides of the slab, find the reflection coefficient of the wave reflected from the front of the slab. Assume normal incidence now. Under what conditions the reflection is minimum? Show an illustration...
8a: a light wave of amplitude E sub 0 = 1 traveling in the +z direction is incident on a slab of glass, refractive index n=1.5, at perpendicular incidence. It has wavelength λ = 2π/k in vacuum. Determine the reflection coefficient, R, and transmission coefficient, T for the wave. b. Now assume that the slab has thickness a, meaning its boundaries are located at z = 0 and z = a. Assume it is infinite in all other directions. In...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water interface at z=0. The phasor expression of the incident electric field intensity is: (V/m) The parameters of the sea-water are: E = 80€, (F/m), u = H (H/m)and o = 4(S/m). Find: a) The intrinsic impedance of medium (1) and medium (2). b) The reflection and transmission coefficients. c) The attenuation and phase constants in the second medium. d) The ratio of the sea-water...
Consider a TEM plane wave with electric field Ei) = Â E)e-ikız normally-incident on the finite-thickness slab shown below. E 1 €2 E 1 ZEL Z=L Write the reflected electric field as E(") = EY") eikız, the field inside the slab as E(2) = î (Ae-ik3z + Beikaz), and the transmitted field as E(t) = Â Ce-iki(z-L). (a) Determine the magnetic fields H and enforce the boundary conditions at z = EL to obtain 4 equations in the 4 unknowns...
4) A plane wave in air with is incident upon the planar surface of a dielectric material, with e2.25, occupying the half-space z 2 0. Determine (a) The incidence angle i (e) The field E, of the reflected wave (d) The field E of the wave transmitted into the dielectric, (e) The average power density carried by the wave into the dielectric medium.(30 pts.) (b) The frequency of the wave. Hint: This incident wave is a mixture of parallel and...
A dielectric slab is placed in a external field as shown. Outside the slab, the electric field isEs=(10.ON/C)x. Inside the slab, the electric field isEs= (3.5N/C)x. What is the dielectric constant? 0.35 O 1.0 O 1.5 2.0 2.9 QUESTION 20 For the previous question what is the charge density of the left side of the slab? -1.1x10-11 C/m2 0 -3.1x10-11 C/m2 -8.9x10-11 C/m2 -5.8x10-11 C/m2 0 -1.2x10-11 C/m2
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
4. Consider the dielectric slab shown below: The electric field within the slab is: E(T) = 2 âz [V/m] and the susceptibility of the dielectric is 2.0, find: (a) the permittivity and relative permittivity of the dielectric. (b) the electric flux density within the slab. (c) the polarization vector within the slab. (d) the volume bound charge density within the slab. (e) the surface bound charge density at the top and bottom of the slab.